An ellipse is the set of all points in a plane the sun of whose distance from two fixed points in the plane is a constant ?

The locus of a point which moves such that the sum of its distances from two fixed points is a constant is

The locus of the point which moves such that the ratio of its distance from two fixed point in the plane is always a constant K(lt 1) is

The locus of a point which moves such that the difference of its distances from two fixed points is always of its distances from two fixed points is always a constant is

A point moves in a plane so that its distances PA and PB from two fixed points A and B in the plane satisfy the relation PA - PB = (k ne 0) , then the locus of P is :

If the sum of the distances of a point from two perpendicular lines in the plane is 1, then its locus is

Show that the relation R in the set A of points in a plane given by R = {(P,Q): distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further, show that the set of all points related to a point P ne (0,0) is the circle passing through P with origin as centre.

Two points A and B in a plane are related if OA=OB, where O is a fixed point. This relation is :

The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

The point on the parabola y^(2)=8 x whose distance from the focus is 8 , has x -coordinates